Two Intercepts
The graphs of \(f(x) = a - x^2\) and \(g(x) = x²+bx+c\) are tangent at \(x=1\).
What condition on \(a\) is necessary for the graph of \(g(x)\) to have 2 distinct x-intercepts?
Graphs of f(x) = a - x², g(x) = x²+bx+c are tangent at x=1. What condition on 'a' is necessary for the graph of g to have 2 distinct x-intercepts? @jamestanton @HarMath @johnjoy1966 @iteachmathAll #mtbos #maths
— David Marain (@dmarain) September 6, 2020
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